Complex Solutions to the Painleve IV Equation through Supersymmetric Quantum Mechanics

被引：8

作者：

Bermudez, David ^{[1
]}

Fernandez C, David J. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Fis, Mexico City 07000, DF, Mexico

来源：

ADVANCED SUMMER SCHOOL IN PHYSICS 2011 (EAV 2011) | 2012年 / 1420卷

关键词：

Quantum mechanics; non-linear differential equations; Painleve equations; complex potentials with real spectra; HEISENBERG ALGEBRAS; CHAINS; SUSY;

D O I：

10.1063/1.3678612

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, supersymmetric quantum mechanics will be used to obtain complex solutions to the Painleve IV equation with real parameters. We will also focus on the properties of the associated Hamiltonians, i.e. the algebraic structure, the eigenfunctions and the energy spectra.

引用

页码：47 / 51

页数：5

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